The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
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helpppp! I dont know what to do. Im not very good with slopes LOL.
Answer:
A= 14
B= -6
C= 2/5
D= 4/3
E= -2
F= 12
Step-by-step explanation:
Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?
Answer:
2/11
Step-by-step explanation:
thats the probability
Answer:
2/11
Step-by-step explanation:
Simplify the given expression. 2(-36-3i)+(5+2i)(12-2i)
Answer:
-8+8i
Step-by-step explanation:
(-72-6i) + (60-10i+24i-4i^2)
(-72-6i) + (60+14i+4)
-72+64+8i
-8+8i
If n = 13, then P(t > 2.2) < 0.025
True or false
Answer:
true
Step-by-step explanation:
What is the slope of a line that passes through the points (0, 1) and (2, 6)?
please answer fast as can
Answer:
[tex]\boxed {\boxed {\sf m=\frac{5}{2}}}[/tex]
Step-by-step explanation:
The slope formula is the change in y over the change in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂, y₂) are the points the line passes through.
The points given are (0,1) and (2,6). Therefore:
[tex]x_1=0\\y_1=1\\x_2=2\\y_2=6[/tex]
Substitute the values into the formula.
[tex]m=\frac{6-1}{2-0}[/tex]
Solve the numerator.
[tex]m=\frac{5}{2-0}[/tex]
Solve the denominator.
[tex]m=\frac{5}{2}[/tex]
This fraction can not be simplified further, so it is our answer.
The slope of the line is 5/2
Answer:
m=5/2
Step-by-step explanation:
We know that,
[tex]Slope\ (m)=\frac{Rise}{Run}\\Slope\ (m)=\frac{y_2-y_1}{x_2-x_1} \\As here,\\x_1=0, x_2=2\\y_1=1, y_2=6\\Hence,\\Slope(m)\ of\ the\ following\ line\ =\frac{6-1}{2} =2.5[/tex]
A deep ocean trench is 30,000 feet deep How deep is that in miles? Round your answer to two decimal places. (There are 5,280 feet in a mile.)
If a mile =5,208 ft that means you need to divide 30,000÷5,280 to get your answer!
Step-by-step explanation:
30,000÷5,280= 5.68mil
PLEASE HELP!!
The graph shows the cost C in dollars of W points of blueberries. Select ALL the true statements.
A. 1 pound of blueberries cost $2.75
B. 2.75 pounds of blueberries cost $1
C. 5 pounds of blueberries cost $15.30
D. 12 pounds of blueberries cost $33
E. The point (3,9) is on the graph of the proportional relationship
Answer:
A and D
Step-by-step explanation:
• Which factors do 3 and 9 have in common? Choose ALL that apply.
1
2
3
4
5
6
7
8
9
10
Answer:
3 and 9 both have factors 1 and 3 in common.
Explanation:
A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.
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Find a point-slope equation of the line having the given slope and containing the given point.
m=−6; (6,4)
Answer:
[tex]\boxed {y - 4 = -6(x - 6)}[/tex]
Step-by-step explanation:
Since you already have the given slope and the given point, use the Point-Slope Formula to make it a Point-Slope Form:
[tex]y - y_{1} = m(x - x_{1})[/tex]
Slope: [tex]m[/tex]
First Point: [tex](x_{1}, y_{1})[/tex]
-Substitute both the given slope and the given point:
Slope: [tex]-6[/tex]
First Point: [tex](6,4)[/tex]
[tex]\boxed {y - 4 = -6(x - 6)}[/tex] (Substituted in Point-Slope Form)
Answer:
y-4 = -6(x-6)
Step-by-step explanation:
Pre-SolvingGivenWe are given that a line has a slope of -6 and a point of (6, 4).
We want to find the equation of this line in point-slope form.
FormulasPoint-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point.
SolvingSubstitute the value of m (which is -6) into the formula for point-slope form.
[tex]y-y_1=-6(x-x_1)[/tex]
Now, substitute 6 and 4 as [tex]x_1[/tex] and [tex]y_1[/tex] respectively.
[tex]y-4=-6(x-6)[/tex]
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
[tex]I_1=40I_2[/tex]
Step-by-step explanation:
[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7
[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1
[tex]I_1[/tex] = Intensity of 1994 earthquake
[tex]I_2[/tex] = Intensity of 2014 earthquake
[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm
Magnitude is given by
[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]
[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]
Dividing the above intensities with each other we get
[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]
The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.
Plz help what the answer
Transformations of functions PLS HELP
Answer:
B. y = f(x-4)
Step-by-step explanation:
How many solutions exist for the system or equations graphed below
Answer:
One
Step-by-step explanation:
The solutions to a system of equations are where the lines intersect. This system will only ever intersect once, therefore there is only one solution. You can see the solution at the top right.
The number of solutions that exists for the given system of equations is one.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given a graph of a system of equations.
The graph consists of two lines. So they are linear functions.
A system of linear equations can have one or infinitely many solutions and no solutions at all.
Solution of a system is the intersection point of the graph.
Here there is only one intersection point.
Hence the number of solutions is 1.
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Find the slope of the line that passes
through these two points.
Answer:
1/5
Step-by-step explanation:
[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]
Answer: 1/5
Step-by-step explanation: Following our hint,
let's start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have m = 2 - 1 / 3 - (-2) or 1 / 5.
So our slope is 1/5.
The slope of a line that passes through (-2,5) and (1. 7) in simplest form is
Write the slope-intercept form of the equation of each line.
example:
m= ( answer )
b= (answer )
equation= (answer)
Answer:
1) 2/5
2) 2
3) 0,1
4)-2,0
5)-1
6)1,-2
7)1,0
8) 3,-1
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
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Which approach provides technical and financial assistance for natural resource management?
The
-based approach provides technical and financial assistance for natural resource management
Phzjs
Answer:
Ecosystem
Step-by-step explanation:
edmentium <3
I will give brainliest :)
True or False:
A solid dot on a number line graph indicates that the
given number is included as a possible solution to the
inequality
• True?
• False?
Answer:
True
Step-by-step explanation:
If it's a open dot it can't be a possible solution. Solid dots can be a possible solution.
if a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and scale factor
Step-by-step explanation:
Given parameters:
Scale drawing of the car = 3 inches
Real car = 15feet
Unknown:
Scale = ?
Scale factor = ?
Solution:
The scale is the ratio of the model dimension to the real-life representation.
In this problem, express both quantities in the same unit;
1 foot = 12 inches
15 feet = 15 x 12 = 180inches
Scale;
drawing of the car : Real car
3 inches : 180 inches
Scale 1 inches on drawing is 60inches in real life
Scale factor;
[tex]\frac{real life dimension}{drawing dimension}[/tex] = [tex]\frac{60 inches }{1inches }[/tex] = 60
The scale factor = 60
The function f(x) = -3/4x^2 +9/2x models, in feet, the shape of a doorway arch on a historic building. How high is the
opening of the arch?
6.75 feet
3 feet
6 feet
7.25 feet
Use additive inverses and their properties to find the equivalent expressions.
6-(-3)
-6+(-3)
-6-(-3)
OOO
- 6+3
-6-3
6+(-3)
6-3
6+3
Answer:
-6+(-3) boom that the answer
5 x 4000 step by step for khan
Answer:
Step-by-step explanation:
5×4000
=20,000 answer
Kinsey purchased a bushel of large apples that weigh about 48 pounds.the bushel contains 96 apples what is the weight of one apple
Answer:
o8uhdoularsdjgv
Step-by-step explanation:
he triangles shown are congruent by the SSS congruence theorem.
3 rigid transformations are shown. Triangle A B C is first rotated about point C to form triangle A prime B prime C. Triangle A prime B prime C is then shifted down to form triangle A double-prime B double-prime C prime. Triangle A double-prime B double-prime C prime is reflected across A double-prime B double-prime to form triangle A double-prime B double-prime C double-prime
The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations?
rotation, then reflection, then translation
rotation, then translation, then reflection
translation, then reflection, then rotation
translation, then rotation, then reflection
Answer:
the answer is b
Step-by-step explanation:
i just took the test
Answer:
The answer is b
Step-by-step explanation:
edge 2020
If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?
Answer:
y = {1, 3, 7}
Step-by-step explanation:
Given
y = ½x + 3
Domain: {-4, 0, 8}
Required
Determine the range of the function
To do this, we simply substitute each value of the domain in the given expression
We start with the first
Substitute -4 for x in y = ½x + 3
y = ½ * -4 + 3
y = -2 + 3
y = 1
Then 0
Substitute 0 for x in y = ½x + 3
y = ½ * 0 + 3
y = 0 + 3
y = 3
Lastly, 8
Substitute 8 for x in y = ½x + 3
y = ½ * 8 + 3
y = 4 + 3
y = 7
Hence, the range of the function is:
y = {1, 3, 7}
Answer:1,3,7
Step-by-step explanation:
20 less than the sum of eight and a number?
Answer:
(8 + x) - 20
Step-by-step explanation:
Answer:
The answer is (8 + x) - 20
Step-by-step explanation:
A train travels at 45 mph for 3 h and then increases its speed to 55 mph for 2 more hours. How far does the train travel in the 5-hour period
Answer:
245milesStep-by-step explanation:
Step one:
given that the first 3 hours the train travels at a speed of 45 mph.
i.e Time = 3 hours
speed =45 mph
distance=?
we know that speed = distance/time
distance= speed*time
distance= 45*3
distance=135miles
Step two:
For the nex two hours it travels at 55 mph
i.e time= 2hours
speed= 55mph
distance=?
distance= speed*time
distance= 2*55
distance= 110mile
Step three:
Hence for a total of 5 hours drive, the total distance covered is
135+110= 245miles
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
Pls help I need it with right answers
